proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two ratios are in proportion?

Back

Two ratios are in proportion if their cross products are equal.

Front

What is the cross product of the ratios \( \frac{a}{b} \) and \( \frac{c}{d} \)?

Back

The cross product is \( a \cdot d \) and \( b \cdot c \). If \( a \cdot d = b \cdot c \), then the ratios are in proportion.

Front

Solve for x: \( \frac{2}{5} = \frac{x}{25} \)

Back

x = 10

Front

Solve for m: \( \frac{3}{4} = \frac{m}{16} \)

Back

m = 12

Front

What is the formula to solve for a missing value in a proportion?

Back

If \( \frac{a}{b} = \frac{c}{d} \), then \( a \cdot d = b \cdot c \).

Front

If \( \frac{5}{x} = \frac{10}{20} \), what is x?

Back

x = 10

Front

What does it mean if two ratios are not in proportion?

Back

It means that their cross products are not equal.

Front

Solve for c: \( \frac{2}{7} = \frac{c}{28} \)

Back

c = 8

Front

What is the relationship between equivalent fractions and proportions?

Back

Equivalent fractions represent the same value and can be used to form proportions.